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%I #4 Jan 06 2018 10:29:12
%S 0,22,0,41,39,114,88,296,499,1270,2439,5497,12108,26721,58621,128316,
%T 283619,628215,1389912,3076763,6814301,15113680,33531657,74416589,
%U 165212328,366939315,815262225,1811756368,4027063243,8952787851
%N Number of nX7 0..1 arrays with every element equal to 2 or 3 king-move adjacent elements, with upper left element zero.
%C Column 7 of A297814.
%H R. H. Hardin, <a href="/A297813/b297813.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) -a(n-2) -3*a(n-3) +13*a(n-4) -17*a(n-5) -18*a(n-6) +25*a(n-7) -39*a(n-8) -10*a(n-9) +102*a(n-10) -35*a(n-11) +17*a(n-12) +161*a(n-13) -49*a(n-14) +149*a(n-15) +255*a(n-16) -121*a(n-17) -115*a(n-18) -480*a(n-19) -953*a(n-20) -406*a(n-21) +48*a(n-22) +568*a(n-23) +1381*a(n-24) +972*a(n-25) +115*a(n-26) -586*a(n-27) -1117*a(n-28) -643*a(n-29) +133*a(n-30) +553*a(n-31) +667*a(n-32) +113*a(n-33) -549*a(n-34) -669*a(n-35) -310*a(n-36) +338*a(n-37) +593*a(n-38) +341*a(n-39) -40*a(n-40) -268*a(n-41) -194*a(n-42) -39*a(n-43) +49*a(n-44) +53*a(n-45) +16*a(n-46) -2*a(n-47) -5*a(n-48) -2*a(n-49) for n>59
%e Some solutions for n=7
%e ..0..0..0..1..0..1..1. .0..0..1..0..0..1..1. .0..0..0..0..0..1..1
%e ..0..1..1..0..1..0..1. .0..1..0..1..0..0..1. .0..1..1..1..1..0..1
%e ..1..0..1..0..1..0..1. .0..1..0..1..1..1..0. .1..0..0..0..0..0..1
%e ..1..0..1..0..1..0..1. .0..1..0..0..0..0..1. .1..0..1..1..1..1..0
%e ..1..0..1..0..1..0..1. .0..1..1..1..1..1..0. .1..0..1..0..0..0..1
%e ..1..0..1..0..1..0..1. .1..0..0..0..0..0..1. .1..0..1..0..1..1..0
%e ..1..1..0..1..0..1..1. .1..1..1..1..1..1..1. .1..1..0..1..1..0..0
%Y Cf. A297814.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 06 2018
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